The ratio of momentum diffusivity (v) to thermal diffusivity (a), is called (A) Prandtl number (C) Biot number (B) Nusselt number (D) Lewis number
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- How does the scalar transport equation (advection-diffusion equation) change for a turbulent flow?in convection heat transfer, what happen to the heat transfer coefficient if the viscosity of the fluid decrease?Air at 10 m/s is flowing over a cylinder of D=(15) cm and L = 1 m. Air has thermalconductivity 0.027 W/mK, kinematic viscosity 1.9*10-5 m2/s, and Prandtl number 0.72.Find the Nusselt number
- We derived the continuity equation in two ways: by using the divergence theorem and by summing mass flow rates through each face of an infinitesimal control volume. Explain why the former is so much less involved than the latter.Define and briefly elaborate the terms listed below, support your elaboration with mathematical equations and illustrations where necessay 4. Prandtl, Schmidt, Lewis, Nusselt, and Sherwood number 5. Mole fraction of species and mass fraction of species. 6. Critical radius of insulation related to heat transfer in pipes.Water flows at 5m/s is passed through a tube of 2.5 cm diameter, it is found to be heated from 20 °C to 60 °C. The heating is achieved by condensing steam on the surface of the tube and subsequently the surface temperature of the tube is maintained at 90degC. Water properties are as follows: density=995kg/m3, kinematic viscosity=.657x10-6 m2/s, Pr=4.43, k=.628W/mK, cp=4178J/kgK. a) Determine the Reynolds number b) What is the thermal coefficient on question number c) what is the heat absorbed by the water?
- What is the physical significant of prandtl number? Question does the value of the prandtl number depend on the type of flow, or the flow geometry? Does the prandtl number of air change with pressure? does it change your temperature?1. Experimental analysis was carried out about turbulent convective heat transfer in trapezoidal cross-sectioned duct.Average Nusselt numbers and Reynolds numbers were determined for each experiment and the following data set have beenobtained from this investigation. Find an engineering correlation between the average Nusselt number and Reynolds numberin the form ofNu = aRebDefine and briefly elaborate terms listed below, support your elaboration with mathematical equations and illustrations where necessary: Concentration boundary layer, Viscous boundary layer and Thermal Boundary Layer. Diffusion equation, Laplace’s equation and Poisson’s Equation for rectangular coordinates. Analogy between heat and mass transfer. Prandtl, Schmidt, Lewis, Nusselt, and Sherwood number. Mole fraction of species and mass fraction of species. Critical radius of insulation related to heat transfer in pipes.
- Write the definition ,formula and significance of Reynolds number and Grashoff number in convection heat transfer.Q 1. Define and briefly elaborate terms listed below, support your elaboration with mathematical equations and illustrations where necessary: a. Concentration boundary layer, Viscous boundary layer and Thermal Boundary Layer. b. Diffusion equation, Laplace’s equation and Poisson’s Equation for rectangular coordinates.During air cooling of oranges, grapefruit, andtangelos, the heat transfer coefficient for combined convection,radiation, and evaporation for air velocities of0.11 < V < 0.33 m/s is determined experimentally and isexpressed as h = 5.05 kair Re1/3/D, where the diameter Dis the characteristic length. Oranges are cooled by refrigeratedair at 5°C and 1 atm at a velocity of 0.3 m/s. Determine(a) the initial rate of heat transfer from a 7-cm-diameterorange initially at 15°C with a thermal conductivity of0.50 W/m·K, (b) the value of the initial temperature gradientinside the orange at the surface, and (c) the value of theNusselt number.